OOF2: The Manual
Name
Force_Balance
Details
- 
               Type: 
DivergenceEquation - 
               Flux: 
Stress - Dimension: 2
 - 
               The following 
Propertiesmake direct contributions to thisEquation:OtherPropertiesmake indirect contributions to theEquationthrough theStress. 
Description
The Force Balance equation is
           where 
 is the Displacement Field, 
 is the mass density tensor,
           
 is
           a damping coefficient,
           
 is
           the stress tensor and
           
 is an
           external force
              density vector.
         
      


![\[ M_{ij}\frac{\partial^2 u_j}{\partial t^2}
      + C_{ij}\frac{\partial u_j}{\partial t}
      + \nabla_j\cdot\sigma_{ij} - f_i = 0 \]](equations/6.4.4-eq-3.gif)

